Directed polymers in random media: Probability distributions
- 1 September 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 44 (6) , R3415-R3418
- https://doi.org/10.1103/physreva.44.r3415
Abstract
Using transfer-matrix methods, we have investigated numerically the probability distributions that govern geometric and free-energy fluctuations in the (1+1)-dimensional directed polymer subject to quenched, uncorrelated Gaussian disorder. Exhaustive averaging, over many realizations of the random energy landscape, have permitted us to observe scaling of the third cumulant of the free energy as predicted by Kardar [Phys. Rev. Lett. 55, 2235 (1985)], to address issues concerning finite-size effects, and to discern the asymmetric form of the free-energy probability distribution. In addition, we have determined precisely the amplitudes of various transverse moments in order to compare to recent estimates of Bouchaud and Orland [J. Stat. Phys. 61, 877 (1990)].Keywords
This publication has 26 references indexed in Scilit:
- Comment on ‘‘Growth in a restricted solid-on-solid model’’Physical Review Letters, 1989
- Diverse Manifolds in Random MediaPhysical Review Letters, 1989
- Ground state instability of a random systemPhysical Review Letters, 1987
- Surface Width Exponents for Three- and Four-Dimensional Eden GrowthEurophysics Letters, 1987
- Scaling of Directed Polymers in Random MediaPhysical Review Letters, 1987
- Dynamic Scaling of Growing InterfacesPhysical Review Letters, 1986
- Huse, Henley, and Fisher respondPhysical Review Letters, 1985
- Roughening by impurities at finite temperaturesPhysical Review Letters, 1985
- Depinning by Quenched RandomnessPhysical Review Letters, 1985
- Pinning and Roughening of Domain Walls in Ising Systems Due to Random ImpuritiesPhysical Review Letters, 1985